On an alignment condition of the Weyl tensor
type: Item
instance of: scholarly article
title: On an alignment condition of the Weyl tensor
zbMATH Open document ID: 0996.83015
DOI: 10.1023/A:1016365830842
author: Con Lozanovski
author: John Carminati
published in: General Relativity and Gravitation
publication date: 2002-08-26T00:00:00Z
review text: The authors consider a perfect fluid spacetime with purely magnetic or purely electric Weyl tensor and prove that the fluid 4-velocity vector at any point lies in the 2-plane spanned by the principal null directions of the Weyl tensor. This is a generalization of the result obtained by A. Barnes and R. R. Rowlingson. They apply this result to Petrov type D shear-free perfect fluid solutions of the Einstein equation and prove that in the purely magnetic case the solution is locally rotationally symmetric.
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 1788509
zbMATH Keywords: exact solutions of Einstein equation
zbMATH Keywords: perfect fluid spacetimes
zbMATH Keywords: Petrov type D spacetimes
zbMATH Keywords: Weyl tensor
zbMATH Keywords: fluid 4-velocity
reviewed by: Dmitri Alekseevsky
describes a project that uses: NPTOOLS
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1788509